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Table 4 MCAT performance measures and item reduction on general HRQOL factor for each simulation

From: Applying multidimensional computerized adaptive testing to the MSQOL-54: a simulation study

Simulation

Mean number of administered items, median (interquartile range)

Item reduction

Mean SE (range)

Correlation between \(\widehat{\theta }\) and θ

RMSD

Full

44

-

0.28 (0.26–0.43)

0.96

0.29

1

44

0

0.28 (0.26–0.43)

0.96

0.29

2

31, 35 (21–42)

28.7%

0.31 (0.26–0.55)

0.94

0.32

3

26, 24 (22–29)

41.1%

0.31 (0.29–0.43)

0.94

0.32

4

23, 22 (20–27)

48.5%

0.33 (0.29–0.55)

0.94

0.34

5

44

0

0.28 (0.26–0.43)

0.96

0.29

6

31, 35 (21–42)

28.7%

0.31 (0.26–0.55)

0.94

0.32

7

10, 9 (9–10)

77.6%

0.39 (0.36–0.43)

0.91

0.41

8

10, 9 (9–10)

78%

0.39 (0.36–0.55)

0.91

0.41

  1. HRQOL, health-related quality of life. MCAT, multidimensional computerized adaptive testing. RMSD, root mean square difference. SE, standard error of measurement. \(\widehat{\theta }\), latent trait estimate. θ, true latent trait